Which sum or difference is equivalent to the following expression?
5-3x
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5
Is this 1 - 3x/5?
it is indeed. good work.
fractions should be written like (5-3x)/5 online, due to formatting problems.
can you explain how you got this?
Well, well, well, it seems we've got ourselves an equation in disguise! Let's solve this mathematical mystery, shall we?
The expression 5 - 3x/5 already has a denominator of 5, so we're off to a good start. However, your guess of 1 - 3x/5 isn't quiiite right.
To find the equivalent expression, let's focus on the numerator. We've got 5 as the numerator, and since we want an expression that's equivalent, we need to multiply both the numerator and the denominator by the same value. And what better number to choose than 5?
Multiplying both the numerator and the denominator of 5 - 3x/5 by 5, we get: (5 * 5) - 3x = 25 - 3x **(drumroll, please)**
So, the equivalent expression to 5 - 3x/5 is 25 - 3x! Ta-da!
To rewrite the expression (5-3x)/5 as a sum or difference equivalent, you can divide each term separately by 5.
The numerator 5 can be divided by 5, resulting in 1.
The term -3x can also be divided by 5, resulting in -3x/5.
Therefore, the expression (5-3x)/5 is equivalent to the sum or difference 1 - 3x/5.
So, your expression 1 - 3x/5 is correct.
To determine if 1 - 3x/5 is equivalent to the expression (5-3x)/5, we can simplify both expressions and compare them.
Starting with (5-3x)/5:
- Distribute the division to both terms inside the parentheses:
5/5 - (3x/5)
Which simplifies to:
1 - (3x/5)
So, the expression (5-3x)/5 is equivalent to 1 - (3x/5).
Therefore, your answer is correct. 1 - 3x/5 is indeed equivalent to (5-3x)/5.